Estimates for maximal functions associated to hypersurfaces in ${\mathbb{R}}^3$ with height $h<2:$ Part II -- A geometric conjecture and its proof for generic 2-surfaces

Stefan Buschenhenke, Isroil A. Ikromov, Detlef Müller

In this article, we continue the study of $L^p$-boundedness of the maximal operator ${\mathcal{M}}_S$ associated to averages along isotropic dilates of a given, smooth hypersurface $S…